Question

How many numbers of $6$ digits can be formed from the digits of the number $112233$?

• A. $30$
• B. $60$
• C. $90$
• D. $120$

Answer 1

The correct option is C

$90$

Find the total number of can be formed:

Given digit: $112233$ in which $1,2,3$ are repeated twice

Total number of digits = $6$

Total no. of digits that can be formed by $112233$

$=\frac{6!}{2!\times 2!\times 2!}$ ( Since $1,2,3$ are repeated twice )

$=\frac{720}{8}$

$=90$

Total no. of digits that can be formed is $\mathbf{90}\mathbf{.}$.

Hence the correct option is (C).